x2- 2x + 4 * - 2x +1 fox) = find interceptsy asymptotes extrema
6. For the function. 2+x- -2x+14 (x-1)4 r-l) Find domain. Il Find vertical and horizontal asymptotes. Examine vertical asymptote on either side of discontinuity b. 13] c. Find all intercepts. d. Find critical points. Find any local extrema. e. 121 Page 7 of 12 13) f. Find points inflection. 13) g. Sketch. Label: . Intercepts Asymptotes Critical Points) Point of Inflectionfs)
6. For the function. 2+x- -2x+14 (x-1)4 r-l) Find domain. Il Find vertical and horizontal asymptotes. Examine vertical asymptote...
Determine the global extrema of f(x) = 2 cos x + sin 2x on [0, 1]. . 4x Determine the global extrema of g(x) = - 24 on [0, 2] Determine the global extrema of f(x) = In(x2 + 2) on (–1, 2]
Find the absolute extrema of f(x, y) = x^2 + y^2 − 2x − 2y + 1 on the set D = {(x, y): 0 ≤ x ≤ 2 , 0 ≤ y ≤ 2 }
In 11,) Find = classify any relative extrema Of f(x,y)=2x² 4 xy + 2 / 4 g 12.) Use the method of Lagrange multipliers to minimize f(x, y) = x² + y² subject to the constraint equation - 3x + g = 30 (You do NOT have to verify that it is a minimum.
5x3-12x2-1 x2-2x 5. Find the equations of the asymptotes of f (x) Show that P(-3, 2, 0) is the minimum point of the function 6. z=x2 +3y2 +2xy + 2x-6y +9.
a) List any extrema b) Indicate any asymptotes or points of inflection c) Sketch a graph of the function. 1. f(x) (x1)3 2. f(x) xv25 4x2 3 3. f(x) x-6 x-2 4. f(x) X+3
a) List any extrema b) Indicate any asymptotes or points of inflection c) Sketch a graph of the function. 1. f(x) (x1)3 2. f(x) xv25 4x2 3 3. f(x) x-6 x-2 4. f(x) X+3
Find all relative extrema of the following functions a. Y= 3lnx -x b. Y= In(x2+2x+7)
Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic section x²+2x+ 8y - 150 If appropriate, find the center. Select the correct choice and fill in any answer boxes in your choice below. OA (Type an ordered pair.) OB. There is no center.
2. (4+6+2+4+2+6=24 points Consider the function f(x) = -1 (a) Find any vertical and horizontal asymptotes off. (b) On what intervals is f increasing? decreasing? (c) Find all local maximum and minimum values of (d) On what intervals is f concave up? concave down? (e) Find all inflection points of f. (f) Using the information from (a) to (e), sketch a graph of J. Clearly label any asymptotes, local extrema, and inflection points.